Effcient simulation of the adaptive time-dependent density-matrix renormalization-group with periodic boundary conditions

TL;DR

This paper presents an efficient numerical method for simulating the time-dependent properties of one-dimensional quantum spin systems with periodic boundary conditions, enabling better analysis of low-energy dynamics.

Contribution

It introduces an adaptive time-dependent density-matrix renormalization-group algorithm tailored for periodic boundary conditions, improving simulation efficiency for quantum many-body systems.

Findings

Successfully applied to spin-1/2 Heisenberg XX chain at zero temperature

Demonstrated the method's accuracy and efficiency in simulating dynamic correlations

Error analysis confirms suitability for low-energy quantum dynamics

Abstract

We introduce a numerical method of the adaptive time-dependent density-matrix renormalization-group to compute one-dimensional quantum spin systems with periodic boundary condition. We check our algorithm to study the dynamic correlation in spin-1/2 Heisenberg XX chain at zero temperature, and the numerical analysis of errors indicates that this method could be used to efficiently simulate the time-dependent properties of low-energy dynamics in an arbitrary one-dimensional quantum many-body systems with the nearest-neighbor interaction.